Mastering Block Diagram Reduction: Tips and Techniques | Transfer Function Guide

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The discussion focuses on reducing a leapfrog block diagram to find its transfer function. The user is struggling with the leapfrog portions after successfully reducing feedback loops G1 and G4. A suggestion is made to write simultaneous equations for each summing node, similar to using Kirchhoff's Current Law in circuit analysis. There is also a request for a MATLAB example, specifically mentioning the use of the sym function and inquiring about the ode45 function. Overall, the conversation emphasizes techniques for block diagram reduction and MATLAB application.
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Hi,

I'm having some trouble reducing a leapfrog block diagram shown in the attachment. I want to find the transfer function but I don't know how to reduce the portions which "leapfrog". I can reduce the feedback loops G1 and G4 but not too sure on where to go from there.

Any help is appreciated.
Thanks!
 

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    leap_frog_block_diagram.jpg
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Sorry that I'm not much help on this one, but it would seem that you would need to write simultaneous equations for each summing node, and solve the system of equations. Kind of analogous to using the KCL to solve for the behavior of a circuit.
 
Thanks for the response Berkeman.
I think you might be right. Could you show a quick example of how I can proceed using matlab?
I was thinking of using the sym function but I've also been told that I could use ode45 functions (although I'm not familiar with ode45 functions).

Thanks.
 
type "help ode45"
 

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